Prod. Sigmoidal MF
Product of two sigmoid membership functions
Libraries:
Fuzzy Logic Toolbox /
Membership Functions
Description
The Prod. Sigmoidal MF block implements a membership function based on the product of two sigmoidal curves. The sigmoidal curves are defined by the following equation.
where k = 1,2 The parameters a1 and a2 control the slopes of the left and right curves. The parameters c1 and c2 control the points of inflection for the left and right curves.
To define a unimodal membership function with a maximum value of 1
,
specify opposite signs for a1 and
a2, and select c values far
enough apart to allow for both transition areas to reach 1
.
This block is related to the Diff. Sigmoidal MF and Sigmoidal MF blocks.
Ports
Input
Output
Parameters
Extended Capabilities
Version History
Introduced before R2006a
See Also
Functions
Blocks
- Diff. Sigmoidal MF | Gaussian MF | Gaussian2 MF | Generalized Bell MF | Linear S-shaped MF | Linear Z-shaped MF | Pi-shaped MF | S-shaped MF | Sigmoidal MF | Trapezoidal MF | Triangular MF | Z-shaped MF